Automobile Engineering

yes you Can.
NID (NATIONAL INSTITUTE OF DESIGN AHMEDABAD)IS THE BEST COLLEGE OF VECHIAL AND TRANSPORT DESIGN,its a 4year degree course on completion you will get Bachelor of Design.
every year all india NID EXAM are conducted.
All the best.

Hi Gagandeep, Germany is no doubt the best for what you are planning to study. You can also consider USA, Australia, Canada and Singapore.

For Petroleum :
1. IIT Mumbai
2. ISM Dhanbad
3. University of Petroleum & Energy Studies (UPES), Dehradun
4. Pandit Deendayal Petroleum University (PDPU), Gandhinagar
5. Maharashtra Institute of Technology (MIT), Pune
For Automobile :
1. IIT Delhi
2. IIT Roorkee
3. Sathyabama University Chennai
4. Manipal Institute of Technology Manipal
5. Hindustan Institute of Engineering Technology Chennai
6. Madras Institute of Technology Chennai

Hi Nits, for MS you must hold a bachelor degree with outstanding academic records. For more information you may go through their website
https://www.in.tum.de/en/for-prospective-students/masters-programs/automotive-software-engineering.html
However to pursue bachelor's you must hold 13 years education , so after 10+2 you must complete an additional year of education either by clearing IIT JEE Adv or completing first year of a bachelor degree program. Also refer to http://www.daaddelhi.org/en/ for additional information.
Hope this helps.

As is understandable from the name. Automobile is focused on Automobiles. But Mechanical Is a very diverse core brance. Everything you can see feel around you is mechanical in nature. Or requires concepts of mechanical engineering.
Thus i would advice as you to keep otions open and take Mechanical Enginnering from good colleges like BITS, Lovely Professional University, SRM etc. Once you get in final year you can choose specialization as Automobile engineering.

Click link for details :
http://education.sulekha.com/automobile-engineering_colleges_mumbai

List of Top 10 Automobile Engineering Colleges in India :-
1. IIT Delhi
2. IIT Roorkee
3. Sathyabama University Chennai
4. Manipal Institute of Technology Manipal
5. Hindustan Institute of Engineering Technology Chennai
6. Madras Institute of Technology Chennai
7. P.S.G. College of Technology Coimbato
8. SCMS School of Engineering and Technology (SSET), Cochin
9. Veermata Jijabai Technological Institute (VJTI), Mumbai
10. SRM University, Chennai

Both are almost same in terms of both carriculam as well as importance. automobile engg. in one hand specialises you in a particular field of mech. engg but at the same time you can have a much broader field after mech.engg. including the automobile sector.
hope that helps :-)

Hi
Automotive is more about vehicles which includes all like two wheelers, four wheelers etc, whereas automobile is specifically about cars. While selecting your college, do compare the course structure to know the difference in depth.